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Finding the Fourth Proportional to 22,897.34, 31,592.43 and 13,464.14

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Solution

The fourth proportional to 22,897.34, 31,592.43 and 13,464.14 is: 18,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.34 : 31,592.43 = 13,464.14 : x
  2. Step 2: Convert to fraction form
    22,897.34/31,592.43 = 13,464.14/x
  3. Step 3: Cross multiply
    22,897.34x = 31,592.43 × 13,464.14
  4. Step 4: Simplify right side
    22,897.34x = 425,364,900.46
  5. Step 5: Solve for x
    x = 425,364,900.46/22,897.34
  6. Step 6: Final answer
    x = 18,577.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.